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Finding the Fourth Proportional to 5,402.48, 7,455.52 and 3,044.64

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Solution

The fourth proportional to 5,402.48, 7,455.52 and 3,044.64 is: 4,201.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.48 : 7,455.52 = 3,044.64 : x
  2. Step 2: Convert to fraction form
    5,402.48/7,455.52 = 3,044.64/x
  3. Step 3: Cross multiply
    5,402.48x = 7,455.52 × 3,044.64
  4. Step 4: Simplify right side
    5,402.48x = 22,699,374.41
  5. Step 5: Solve for x
    x = 22,699,374.41/5,402.48
  6. Step 6: Final answer
    x = 4,201.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.